Question

geometry with statistics - childerss - s2 (lms)
scatterplot/linebestfit (lms graded)
what is a good estimate for the height of the balloon after 10 seconds? enter your answer in the box

Explanation:

Step1: Identify trend of data points

The scatter plot shows the balloon height increases by ~5 ft each second: at 1 sec ($32$ ft), 2 sec ($45$ ft), 3 sec ($55$ ft), 4 sec ($63$ ft), 5 sec ($71$ ft), 6 sec ($75$ ft), 7 sec ($77$ ft), 8 sec ($78$ ft), 9 sec ($80$ ft). The rate slows as it approaches a plateau near 80 ft.

Step2: Extend trend to 10 seconds

Since the height at 9 seconds is 80 ft, and the growth is slowing (the height changes by only 1-2 ft between 7-9 sec), the height at 10 seconds will stay near 80 ft, with a small upward shift or remain stable. A reasonable estimate is 80-82 ft; the most consistent estimate from the plateau trend is 80 ft.

Answer:

80 feet